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Finding the Third Proportional to 129,016,341,021 and 179,386,909,653

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Solution

The third proportional to 129,016,341,021 and 179,386,909,653 is: 249,423,159,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016,341,021 : 179,386,909,653 = 179,386,909,653 : x
  2. Step 2: Convert to fraction form
    129,016,341,021/179,386,909,653 = 179,386,909,653/x
  3. Step 3: Cross multiply
    129,016,341,021x = 179,386,909,653 × 179,386,909,653
  4. Step 4: Simplify right side
    129,016,341,021x = 32,179,663,354,853,582,700,544
  5. Step 5: Solve for x
    x = 32,179,663,354,853,582,700,544/129,016,341,021
  6. Step 6: Final answer
    x = 249,423,159,114.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.